Results 41 to 50 of about 15,884 (161)
4D Mapping of the Fracture Evolution in a Printed Gypsum-Like Core by Using X-Ray CT Scanning
Advances in Civil Engineering, 2021 The paper presents the use of micro-X-ray computed tomography (CT) system and associated automatic loading device in visualizing and analyzing the propagation of penny-shaped flaw in gypsum-like 3D printing specimen. During the loading process, a micro-X-
Huabo Liu, Fanjing Meng, Shaozhen Hua
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Fractal Characterization of Simulated Metal Nanocatalysts in 3D
Small ScienceThe surface roughness of metal nanoparticles is known to be influential toward their properties, but the quantification of surface roughness is challenging.
Jonathan Y. C. Ting +2 more
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An Interface Design for Calculation of Fractal Dimension
Chaos Theory and Applications, 2020 Partially insufficient is the modelling of irregular and complex forms using Euclidean geometry. On the other hand, fractal geometry allows irregular complex forms and structures to be expressed in mathematical terms. While fractal geometry appears to be
Mustafa Zahid Yıldız +5 more
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Multifractal portrayal of the Swiss population
Cybergeo, 2015 Fractal geometry is a fundamental approach for describing the complex irregularities of the spatial structure of point patterns. The present research characterizes the spatial structure of the Swiss population distribution in the three Swiss geographical
Carmen Delia Vega Orozco +2 more
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Fractal and FractionalFractal theory provides a powerful tool for quantifying complex geometric patterns such as concrete cracks. The box-counting method is widely employed for fractal dimension (FD) calculation due to its intuitive principles and compatibility with image ...
Junfeng Wang +4 more
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Reverse Fractal Design via Lindenmayer Systems Based on Box-Counting Dimension
Fractal and FractionalWe present a systematic framework for the reverse fractal design of Lindenmayer (L-) systems from target box-counting dimensions. By inverting the self-similarity formula D=lnnln(1/r) to r=n−1/D, we analytically determine L-system parameters (copy count ...
Hui Li
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A fast algorithm to determine fractal dimensions by box counting
Physics Letters A, 1989 Abstract A new algorithm is used to determine fractal dimensions by box counting for dynamic and iterated function systems. This method is fast, accurate, and less dependent on data specific curve fitting criteria than the correlation dimension.
Larry S. Liebovitch, Tibor Toth
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Box-Counting Dimension Sequences of Level Sets in AI-Generated Fractals
Fractal and FractionalWe introduce a mathematical framework to characterize the hierarchical complexity of AI-generated fractals within the finite resolution constraints of digital images.
Minhyeok Lee, Soyeon Lee
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International Journal of Mining Science and TechnologyTo address the issues of single warning indicators, fixed thresholds, and insufficient adaptability in coal and gas outburst early warning models, this study proposes a dynamic early warning model for gas outbursts based on adaptive fractal dimension ...
Jie Chen +11 more
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Relation between geometry of fracture surfaces and impact work of wood composite materials
Acta Universitatis Agriculturae et Silviculturae Mendelianae Brunensis, 2006 The aim of this work is description of geometry of fracture surfaces of wood composite materials (cement-bonded particleboard, gypsum-bonded fibreboard and wood particleboard) using fractal analysis and exploration relation between fractal dimension and ...
Eva Přemyslovská, Petr Koňas
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